Multiobjective optimisation involves optimising several quantities, such as time and money, simultaneously. The result is a polyhedral frontier of best possible solutions, which cannot improve one quantity without a trade-off against another. For linear programming, this frontier can be generated using Bensonâ€™s outer approximation algorithm, which uses a sequence of scalarisations (single-objective optimisations), combined with classical algorithms from polytope theory.

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Last updated: 14 Feb 2019